the movement of the progress bar may be uneven because questions can be worth more or less (including zero)…

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. which of the following is the graph of y = 3 sin 2x?

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. which of the following is the graph of y = 3 sin 2x?

Answer

Explanation:

Step1: Recall the general form of sine - function

The general form of a sine function is $y = A\sin(Bx - C)+D$. For the function $y = 3\sin(2x)$, $A = 3$, $B = 2$, $C = 0$, and $D = 0$.

Step2: Determine the amplitude

The amplitude of the function $y = A\sin(Bx)$ is given by $|A|$. Here, $A = 3$, so the amplitude is $|3|=3$. This means the graph oscillates between $y=-3$ and $y = 3$.

Step3: Determine the period

The period of the function $y=\sin(Bx)$ is $T=\frac{2\pi}{|B|}$. Since $B = 2$, the period $T=\frac{2\pi}{2}=\pi$.

The graph of $y = 3\sin(2x)$ has an amplitude of 3 and a period of $\pi$. Looking at the options, the graph with an amplitude of 3 (oscillating between - 3 and 3) and a period of $\pi$ is the second - graph from the left.

Answer: The second graph from the left.